Solvability of a ϱ-Hilfer Fractional Snap Dynamic System on Unbounded Domains

STM Thabet, M Vivas-Cortez, I Kedim, ME Samei… - Fractal and …, 2023 - mdpi.com
This paper is devoted to studying the ϱ-Hilfer fractional snap dynamic system under the ϱ-
Riemann–Liouville fractional integral conditions on unbounded domains [a,∞), a≥ 0, for the …

[HTML][HTML] Efficient results on Hilfer pantograph model with nonlocal integral condition

KS Nisar - Alexandria Engineering Journal, 2023 - Elsevier
The optimistic plan of this work reveals the solvability conditions of Hilfer fractional
pantograph integrodifferential equations of type 0≤ q 2≤ 1 and order 0< q 1< 1. The …

[HTML][HTML] On Caputo-Hadamard fractional pantograph problem of two different orders with Dirichlet boundary conditions

AS Rafeeq, STM Thabet, MO Mohammed… - Alexandria Engineering …, 2024 - Elsevier
This manuscript aims to study the effectiveness of two different levels of fractional orders in
the frame of Caputo-Hadamard (CH)-derivatives on a special type class of delay problem …

The iterative properties for positive solutions of a tempered fractional equation

X Zhang, P Chen, H Tian, Y Wu - Fractal and Fractional, 2023 - mdpi.com
In this article, we investigate the iterative properties of positive solutions for a tempered
fractional equation under the case where the boundary conditions and nonlinearity all …

New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of -Hilfer fractional differential equations

PR Patle, M Gabeleh, V Rakočević… - Revista de la Real …, 2023 - Springer
With the aim to prove the existence of optimum solutions of a system of ψ-Hilfer fractional
differential equations, this work considers a new class of cyclic (noncyclic) condensing …

A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality

T Abdeljawad, STM Thabet, I Kedim, MI Ayari… - Boundary Value …, 2023 - Springer
This paper aims to extend the Caputo–Atangana–Baleanu (ABC) and Riemann–Atangana–
Baleanu (ABR) fractional derivatives with respect to another function, from fractional order …

A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law

STM Thabet, T Abdeljawad, I Kedim, MI Ayari - Boundary Value Problems, 2023 - Springer
In this paper, new generalized weighted fractional derivatives with respect to another
function are derived in the sense of Caputo and Riemann–Liouville involving a new …

A novel optimal control strategy for nutrient-phytoplankton-zooplankton model with viral infection in plankton

RN Premakumari, C Baishya, ME Samei… - … in Nonlinear Science and …, 2024 - Elsevier
This paper presents a mathematical model that explores the intricate dynamics between
nutrients, phytoplankton, and zooplankton populations, incorporating viral infection …

Study of three-point impulsive boundary value problems governed by -Caputo fractional derivative

R Poovarasan, ME Samei, V Govindaraj - Journal of Applied Mathematics …, 2024 - Springer
In this study, we investigate the existence and uniqueness of solutions for specific type of
three-point boundary value problems. These problems focus on nonlinear impulsive …

Controllability Analysis of Neutral Stochastic Differential Equation Using -Hilfer Fractional Derivative with Rosenblatt Process

M Lavanya, BS Vadivoo, KS Nisar - Qualitative Theory of Dynamical …, 2025 - Springer
In this study, we examine the controllability of a neutral stochastic fractional equation of
motion that incorporates the ψ-Hilfer fractional derivative and the Rosenblatt process …